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Gerbes and twisted orbifold quantum cohomology

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Abstract

In this paper, we construct an orbifold quantum cohomology twisted by a flat gerbe. Then we compute these invariants in the case of a smooth manifold and a discrete torsion on a global quotient orbifold.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China

    JianZhong Pan & XiaoQin Yin

  2. Department of Mathematics, University of Wisconsin-Madison, WI, 53706, Madison, USA

    YongBin Ruan

  3. Department of Mathematics, The Hong Kong University of Science and Technology, Hong Kong, China

    YongBin Ruan & XiaoQin Yin

Authors
  1. JianZhong Pan
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  2. YongBin Ruan
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  3. XiaoQin Yin
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Corresponding author

Correspondence to XiaoQin Yin.

Additional information

This work was partially supported by the National Natural Science Foundation of China (Grant No.10631060) and the National Science Foundation and Hong Kong Research Grant Council Earmarked

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Pan, J., Ruan, Y. & Yin, X. Gerbes and twisted orbifold quantum cohomology. Sci. China Ser. A-Math. 51, 995–1016 (2008). https://doi.org/10.1007/s11425-007-0154-9

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  • DOI: https://doi.org/10.1007/s11425-007-0154-9

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